Graci is a distinctive girls' name in United States, ranking #1536 in 2004 with 130 recorded births. The name reached its all-time peak in 2004 with 130 births ranking #1536. Since 1996, the popularity has increased by 1,757.1%. In 2004, approximately 1 in every 14,124 girls born was named Graci. FALLING Recent data shows the name is currently falling.